3238952640 has 448 divisors, whose sum is σ = 13132247040. Its totient is φ = 656732160.

The previous prime is 3238952627. The next prime is 3238952663. The reversal of 3238952640 is 462598323.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3238952592 and 3238952601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3178051 + ... + 3179069.

Almost surely, 2^3238952640 is an apocalyptic number.

3238952640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3238952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566123520).

3238952640 is an abundant number, since it is smaller than the sum of its proper divisors (9893294400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3238952640 is a wasteful number, since it uses less digits than its factorization.

3238952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3238952640 is about 56911.7970195987. The cubic root of 3238952640 is about 1479.5677822368.

The spelling of 3238952640 in words is "three billion, two hundred thirty-eight million, nine hundred fifty-two thousand, six hundred forty".